Answer:
The area between the curves is 4 square units.
Step-by-step explanation:
We want to find the area bounded by:
y = x
x = 0
in the interval x = 1, x = 3
This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3
Written as:
[tex]\int\limits^3_1 {x} \, dx[/tex]
And the integral of x is equal to x^2/2
Then:
[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]
The area between the curves is 4 square units.
